Engineering

How to Calculate and Solve for Minimum Depth of Water | Methods of Application of Water

Last Updated on September 29, 2020

The image above represents minimum depth of water.

To compute for minimum depth of water, three essential parameters are needed and these parameters are Specific Weight of Soil (ws), Specific Weight of Water (w) and Depth of Root Zone (d).

The formula for calculating minimum depth of water:

dw = ws . d / w

Where:

dw = Minimum Depth of Water
ws = Specific Weight of Soil
w = Specific Weight of Water
d = Depth of Root Zone

Let’s solve an example;
Find the minimum depth of water when the specific weight of soil is 12, the specific weight of water is 14 and the depth of root zone is 16.

This implies that;

ws = Specific Weight of Soil = 12
w = Specific Weight of Water = 14
d = Depth of Root Zone = 16

dw = ws . d / w
dw = 12 (16) / 14
dw = 192 / 14
dw = 13.71

Therefore, the minimum depth of water is 13.71.

Calculating the Specific Weight of Soil when the Minimum Depth of Water, the Specific Weight of Water and the Depth of Root Zone is Given.

ws = dw x w / d

Where;

ws = Specific Weight of Soil
dw = Minimum Depth of Water
w = Specific Weight of Water
d = Depth of Root Zone

Let’s solve an example;
Find the specific weight of soil when the minimum depth of water is 24, the specific weight of water is 6 and the depth of root zone is 12.

This implies that;

dw = Minimum Depth of Water = 24
w = Specific Weight of Water = 6
d = Depth of Root Zone = 12

ws = dw x w / d
ws = 24 x 6 / 12
ws = 144 / 12
ws = 12

Therefore, the specific weight of soil is 12.

Calculating the Specific Weight of Water when the Minimum Depth of Water, the Specific Weight of Soil and the Depth of Root Zone is Given.

w = ws . d / dw

Where;

w = Specific Weight of Water
dw = Minimum Depth of Water
ws = Specific Weight of Soil
d = Depth of Root Zone

Let’s solve an example;
Given that the minimum depth of water is 20, the specific weight of soil is 12 and the depth of root zone is 4.

This implies that;

dw = Minimum Depth of Water = 20
ws = Specific Weight of Soil = 12
d = Depth of Root Zone = 4

w = ws . d / dw
w = 12 . 4 / 20
w = 48 / 20
w = 2.4

Therefore, the specific weight of water is 2.4.

Calculating the Depth of Root Zone when the Minimum Depth of Water, the Specific Weight of Soil and the Specific Weight of Water is Given.

d = dw x w / ws

Where;

d = Depth of Root Zone
dw = Minimum Depth of Water
ws = Specific Weight of Soil
w = Specific Weight of Water

Let’s solve an example;
Find the depth of root zone when the minimum depth of water is 10, the specific weight of soil is 5 and the specific weight of water is 3.

This implies that;

dw = Minimum Depth of Water = 10
ws = Specific Weight of Soil = 5
w = Specific Weight of Water = 3

d = dw x w / ws
d = 10 x 3 / 5
d = 30 / 5
d = 6

Therefore, the depth of root zone is 6.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the minimum depth of water.

To get the answer and workings of the minimum depth of water using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Agricultural under Engineering.

Now, Click on Methods of Application of Water under Agricultural

Now, Click on Minimum Depth of Water under Methods of Application of Water

The screenshot below displays the page or activity to enter your values, to get the answer for the minimum depth of water according to the respective parameters which is the Specific Weight of Soil (ws), Specific Weight of Water (w) and Depth of Root Zone (d).

Now, enter the values appropriately and accordingly for the parameters as required by the Specific Weight of Soil (ws) is 12, Specific Weight of Water (w) is 14 and Depth of Root Zone (d) is 16.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the minimum depth of water and presents the formula, workings and steps too.

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